If you're paying through online banking you actually don't need to call in. You can just register Koodo as a payee with the account #. It'll be on the papers you signed when you got the phone or previous bills.
To be honest I don't know why you didn't call to get your login issue resolved after the first bill came out. You've been on the line with customer service each month, so that's 6 times you should have mentioned it to them. They can sort it out for you.